document.write( "Question 700585: in a class,45 students take the SAT exam. the number of boys is 8 more than the number of girls. write a system that models the above situation and find the solution. do you need to multiply any of the equations by a constant?if so, which equation and what is the constant? \n" ); document.write( "
Algebra.Com's Answer #431877 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! in a class,45 students take the SAT exam. the number of boys is 8 more than the number of girls. write a system that models the above situation and find the solution. \n" ); document.write( "---------- \n" ); document.write( "Using 2 equations: \n" ); document.write( "b + g = 45 \n" ); document.write( "b = g + 8 \n" ); document.write( "------- \n" ); document.write( "Rearrange: \n" ); document.write( "b + g = 45 \n" ); document.write( "b - g = 8 \n" ); document.write( "------ \n" ); document.write( "Add and solve for \"b\": \n" ); document.write( "2b = 53 \n" ); document.write( "b = 26.5 \n" ); document.write( "Rounding up b = 27 (# of boys) \n" ); document.write( "------- \n" ); document.write( "Solve for \"g\": \n" ); document.write( "b + g = 45 \n" ); document.write( "27 + g = 45 \n" ); document.write( "g = 18 (# of girls) \n" ); document.write( "======= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======= \n" ); document.write( " |